Mats G. Larson
Department of Mathematics and Mathematical Statistics, Umeå University, Sweden
Håkan Jakobsson
Department of Mathematics and Mathematical Statistics, Umeå University, Sweden
Gabriel Granåsen
Department of Mathematics and Mathematical Statistics, Umeå University, Sweden
Ladda ner artikel
Ingår i: The 48th Scandinavian Conference on Simulation and Modeling (SIMS 2007); 30-31 October; 2007; Göteborg (Särö)
Linköping Electronic Conference Proceedings 27:10, s. 88-92
Publicerad: 2007-12-21
ISBN:
ISSN: 1650-3686 (tryckt), 1650-3740 (online)
There is an increasing interest in using detailed finite element models of individual components in multibody simulation with detailed contact analysis. Due to the large amount of degrees of freedoms in such models we need to develop reduced models with fewer degrees of freedoms that still capture the flexible body dynamics with sufficient accuracy. In this paper we investigate a static load case on a geometrically complex mechanical component. We use modal basis functions to describe the global deformations of the component and certain Krylov-modes to capture a localized load and to provide accurate coupling to the modal basis functions. We investigate how the overall accuracy depends on the number of modal basis functions and the number of Krylovmodes.
[1] Zu-Qing Qu. Model Order Reduction Techniques with Applications in Finite Element Analysis. Graduate Texts in Mathematics. Springer; London; Berlin; Heidelberg; 2004.
[2] S. Dietz. Vibration and Fatigue Analysis of Vehicle Systems Using Component Modes; volume 401. VDI Verlag; 1999.
[3] Yousef Saad. Iterative Methods for Sparse Linear Systems; 2nd edition. SIAM; 2003.
[4] The MathWorks; Inc. MATLAB. http://www.mathworks.com/products/matlab/.
[5] Alexandre Ern and Jean-Luc Guermond. Theory and Practice of Finite Elements. Graduate Texts in Mathematics. Springer; New York; Berlin; Heidelberg; 2004.
[6] ARPACK. http://www.caam.rice.edu/software/ARPACK/.
